On the body of ample angles of asymptotically log Fano varieties
被引:0
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作者:
Paolo Cascini
论文数: 0引用数: 0
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机构:Imperial College,
Paolo Cascini
Jesus Martinez-Garcia
论文数: 0引用数: 0
h-index: 0
机构:Imperial College,
Jesus Martinez-Garcia
Yanir A. Rubinstein
论文数: 0引用数: 0
h-index: 0
机构:Imperial College,
Yanir A. Rubinstein
机构:
[1] Imperial College,
[2] University of Essex,undefined
[3] University of Maryland,undefined
来源:
Rendiconti del Circolo Matematico di Palermo Series 2
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2023年
/
72卷
关键词:
Asymptotically log Fano varieties;
Asymptotically log Del Pezzo surfaces;
Body of ample angles;
14J45;
14J26 (primary);
14J10;
14E05 (secondary);
D O I:
暂无
中图分类号:
学科分类号:
摘要:
In dimension two, we reduce the classification problem for asymptotically log Fano pairs to the problem of determining generality conditions on certain blow-ups. In any dimension, we prove the rationality of the body of ample angles of an asymptotically log Fano pair, i.e., these convex bodies are always rational polytopes.
机构:
Univ Torino, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, ItalyUniv Torino, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy